We present an analysis of the N -boson spectrum computed using a soft two-body potential, the strength of which has been varied in order to cover an extended range of positive and negative values of the two-body scattering length a close to the unitary limit. The spectrum shows a tree structure of two states, one shallow and one deep, attached to the ground state of the system with one less par...

The recursion theorem in the weak form {e}(z) = x(e, z) (universal function not needed) and in Rogers form φφf(n)(z) = φn(z), and Rice theorem are proved a first time using programs in C, and a second time with scripts in Bash.

When species originate through hybridization, the genomes of the ancestral species are blended together. Over time genomic blocks that originate from either one of the ancestral species accumulate in the hybrid genome through genetic recombination. Modeling the accumulation of ancestry blocks can elucidate processes and patterns of genomic admixture. However, previous models have ignored ancest...

The noncritical liquid/vapor surface is completely saturated with the component of smaller surface tension for sufficiently large surface tension difference between the two components of a critical liquid binary mixture. This complete (or strong) adsorption is described by a universal scaling function of the volume fraction order parameter. We have determined the universal function P; the model...

We study the angular momentum profiles both for dark matter and for gas within virialized halos, using a statistical sample of halos drawn from cosmological hydrodynamics simulations. Three simulations have been analyzed, one is the “non-radiative” simulation, and the other two have radiative cooling. We find that the gas component on average has a larger spin and contains a smaller fraction of...

We present a QCD sum rule calculation of the spin-symmetry violating universal function χ2(v · v′), which appears at order 1/mQ in the heavy quark expansion of meson form factors. This function vanishes in the standard approximation, where radiative effects are neglected. For the first time, the complete set of diagrams arising at order αs is evaluated. In particular, we find χ2(1) = −(3.8± 0.4...

The growth of density perturbations in an expanding universe in the non-linear regime is investigated. The underlying equations of motion are cast in a suggestive form, and motivate a conjecture that the scaled pair velocity, h(a, x) ≡ −[v/(˙ ax)] depends on the expansion factor a and comoving coordinate x only through the density contrast σ(a, x). This leads to the result that the true, non-li...

We present a QCD sum rule calculation of the spin-symmetry violating universal function χ2(v · v′), which appears at order 1/mQ in the heavy quark expansion of meson form factors. This function vanishes in the standard approximation, where radiative effects are neglected. For the first time, the complete set of diagrams arising at order αs is evaluated. In particular, we find χ2(1) = −(3.8± 0.4...

We consider diffraction at random point scatterers on general discrete point sets inR , restricted to a finite volume. We allow for random amplitudes and random dislocations of the scatterers. We investigate the speed of convergence of the random scattering measures applied to an observable towards its mean, when the finite volume tends to infinity. We give an explicit universal large deviation...

Taking into account the SU(3)f breaking effects, the strong coupling constants of the π, K and η mesons with decuplet baryons are calculated within light cone QCD sum rules method. It is shown that all coupling constants, even in the case of SU(3)f breaking, are described in terms of only one universal function. It is shown that for Ξ∗0 → Ξ∗0η transition violation of SU(3)f symmetry is very lar...